Lund University >
Centre for Mathematical Sciences >
Algebra /
Non-Commutative
Geometry and Applications
[ Contact info ] [ Research
interests ] [ Teaching ] [ Publications and preprints ] [ Presentations at conferences ]
[ Links ]
|
| Johan Öinert
PhD and Reader in Mathematics
(På svenska: Teknologie doktor och docent i matematik)
|
|
|
|
Postdoctoral Researcher |
|
Sponsored by the Swedish Research Council |
|
(Repatriation grant no. 2012-6113.) |
Contact info
| Postal address: |
|
Visitors' address: |
| Johan Öinert |
|
Room 425B, Matematikhuset, Sölvegatan 18 |
| Centre for Mathematical Sciences |
|
|
| Lund University |
|
Direct Phone: +46 (0)46 22 28854 |
| Box 118 |
|
Fax: +46 (0)46 22 24010 |
| SE-22100 Lund |
|
|
| SWEDEN |
|
johan.oinert (ª) math.lth.se |
Research interests
- Non-commutative algebra: Crossed products [1] [2] and more
generally graded rings [3]
[4] [5].
- Dynamical systems: Minimal dynamical systems and groupoid C*-dynamical systems.
- The interplay between dynamical systems and C*-algebras, and various algebraic constructions.
- Crossed product Banach algebras. (More details here.)
Click here to see the Wordle image generated from my thesis abstract.
- Icke-kommutativ algebra: Korsprodukter och graderade ringar i största allmänhet.
- Dynamiska system: Minimala dynamiska system och gruppoid C*-dynamiska system.
- Samspelet mellan dynamiska system och C*-algebror, och diverse algebraiska konstruktioner.
- Banach-korsprodukter. (Mer detaljer här.)
En populärvetenskaplig beskrivning på svenska kommer postas här, i sinom tid...
I am a member of the research groups in Non-commutative geometry and applications respectively Algebra, at Lund University.
In the past, I have been a member of the research group in Non-commutative Geometry
within the Centre for Symmetry and Deformation
at the University of
Copenhagen (2010-2012),
the research group in Non-commutative geometry applications
at Lund University (2008-2010)
and the research group in
Algebra and Geometry at the University of Antwerp (2006-2008).
My co-authors include Dr. Jonas T. Hartwig, Dr. Patrik Nystedt (formerly known as Lundström), Tekn. Lic. Johan Richter, Dr. Sergei Silvestrov, Dr. Theodora Theohari-Apostolidi and Dr. Harilaos Vavatsoulas.
My Erdös number is 4 and my Einstein number is 5 (take a look here!).
I am assistant supervisor for Tekn. Lic. Johan
Richter, who is a PhD student at
Lund University.
In the autumn of 2012, I participate in the Leavitt Path Algebra Seminar
at the Centre for Symmetry and Deformation, University of Copenhagen.
People that I like to keep track of:
Gergely Berczi,
Viola Bruni,
Vladimir Dotsenko,
Alex Engström ,
Ghislain Fourier,
Magnus Goffeng,
Isar Goyvaerts,
Jonas Hartwig,
Daniel Larsson,
Javier Lopez Pena,
Douglas
Lundholm,
Samuel
Lundqvist,
Ehud Meir,
Tomas Persson,
Anne Pichereau,
Artur Ruuge,
Karl Rökaeus,
Isar Stubbe,
Christian Svensson,
Jacob Sznajdman,
Bogdan Toader,
Fred Van Oystaeyen,
Qimh
Xantcha.
Teaching
Publications and preprints
Thesis
- J. Öinert,
"Ideals and Maximal Commutative Subrings of Graded
Rings", xii+171 pp.,
Doctoral Thesis in Mathematical Sciences 2009:5,
ISSN-1404-0034,
LUTFMA-1038-2009, ISBN 978-91-628-7832-0, Lund University, 2009.
Errata
If you have trouble accessing any of the papers below,
please send me an e-mail and I will do my best to try to help you!
Accepted papers
- J. Öinert and S. Silvestrov,
''Commutativity and Ideals in
Algebraic Crossed
Products'',
Journal of Generalized Lie Theory and Applications, Vol. 2, No. 4, pp. 287-302
(2008)
- J. Öinert and S. Silvestrov,
''On a Correspondence Between
Ideals and
Commutativity in Algebraic Crossed Products'',
Journal of Generalized Lie Theory and Applications, Vol. 2, No. 3, pp. 216-220
(2008)
- J. Öinert and S. Silvestrov,
''Crossed Product-Like and
Pre-Crystalline
Graded Rings'',
Chapter 24 in "Generalized Lie Theory in Mathematics,
Physics and Beyond", Silvestrov, S.; Paal, E.; Abramov, V.; Stolin, A. (Eds.), 16pp., Springer (2009) [ publisher's web
site ]
- J. Öinert and S. Silvestrov,
"Commutativity and Ideals in Pre-Crystalline Graded
Rings",
Acta Applicandae Mathematicae, Vol. 108, No. 3, pp. 603-615
(2009) [ publisher's website ]
- J. Öinert, S. Silvestrov, T. Theohari-Apostolidi and H. Vavatsoulas,
"Commutativity and Ideals in Strongly Graded
Rings",
Acta Applicandae Mathematicae, Vol. 108, No. 3, pp. 585-602
(2009) [ publisher's website ]
- J. Öinert,
"Simple Group Graded Rings and Maximal
Commutativity",
Contemporary Mathematics (American Mathematical Society), Vol. 503, pp. 159-175 (2009)
- J. Öinert and P. Lundström,
"Commutativity and Ideals in Category Crossed
Products",
Proceedings of the Estonian Academy of Sciences, Vol. 59, No. 4,
pp. 338-346 (2010)
- J. Öinert and P. Lundström,
"The Ideal Intersection
Property for Groupoid Graded Rings",
Communications in
Algebra, Vol. 40, No. 5, pp. 1860-1871 (2012) [ publisher's
website ]
- J. Öinert and P. Lundström,
"Miyashita Action in Strongly Groupoid Graded Rings",
International Electronic Journal of
Algebra, Vol. 11, pp. 46-63 (2012)
- P. Lundström and J. Öinert,
"Skew category algebras associated with partially defined dynamical
systems",
International Journal of Mathematics, Vol. 23, No. 4, pp.
16 (2012) [ publisher's website ]
- J. T. Hartwig and J. Öinert,
"Simplicity of maximal commutative subalgebras of twisted generalized Weyl algebras",
Journal of Algebra, Vol. 373, No. 1, 312-339 (2013) [ publisher's website ]
- J. Öinert, J. Richter and S. Silvestrov,
"Maximal commutative subrings and simplicity of Ore extensions",
Journal of Algebra and Its Applications, Vol. 12, No. 4, 1250192, 16 pp. (2013) [ publisher's website ]
- J. Öinert,
"Simplicity of skew group rings of abelian groups",
To appear in Communications in Algebra.
[ Preprint available @ arXiv ]
- P. Nystedt and J. Öinert,
"Simple skew category algebras associated with minimal partially defined dynamical systems",
Discrete and Continuous Dynamical Systems - Series A (DCDS-A), Vol. 33, No. 9, 4157-4171 (2013) [ publisher's website ]
Preprints
- J. Öinert and P. Lundström,
"Noncrossed Product Matrix Subrings and Ideals of Graded Rings".
[ Preprint available @ arXiv ]
- P. Nystedt and J. Öinert,
"Simple Rings, Degree Maps, Commutativity and Ideal Associativity".
[ Preprint available @ arXiv ]
more coming soon...
Partial lists of my articles can be found on the arXiv and the MathSciNet.
Presentations and attendances at conferences, workshops and
seminars
- 3rd Øresund Symposium in Non-commutative Analysis
and Non-commutative Geometry,
January 30, 2004, Lund, Sweden
- Erasmus Intensive Program in Geometric and Algebraic Methods
in Physics and Applications,
September 4-15, 2005, Antwerp, Belgium
- Lie Days in Martina Franca, "Flags, Quivers and Invariant Theory
in Lie Representation Theory",
May 22-27, 2006, Martina Franca (Taranto), Italy
- Socrates Intensive Program in Geometric and Algebraic Methods
in Physics and Applications,
September 4-18, 2006, Antwerp, Belgium
- International Congress: New Techniques in Hopf Algebras and Graded
Ring
Theory,
September 19-23, 2006, Brussels, Belgium
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
October 12-14, 2006, Lund, Sweden
(Gave a talk.)
- Operator Methods in Fractal Analysis, Wavelets and Dynamical
Systems,
December 2-7, 2006, Banff, Canada
(Gave a talk.)
- Algebraic and Geometric Representation Theory (AGLT),
Århus, Denmark,
June
25-29, 2007
- Socrates Intensive Program in Geometric & Algebraic Methods with
Applications in Physics,
Antwerpen, Belgium, August 27-September 9, 2007
- International Conference on Noncommutative Rings and Geometry in
Honour of
the
60th Birthday of Freddy Van Oystaeyen,
Almeria, Spain,
September 18-23,
2007
- Workshop on Interpolation Theory,
Lund, Sweden,
October 8, 2007
(Gave a talk.)
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
Göteborg,
Sweden, October 11-13, 2007
(Gave a talk.)
- Svenska Matematikersamfundets Höstmöte,
Växjö, Sweden, November
30-December 1, 2007
- LieGrits Workshop,
Oxford, UK, January 3-9, 2008
- EMS Joint Mathematical Weekend,
Copenhagen, Denmark, February 29-March
2,
2008
- 5th Øresund Symposium on Non-commutative Analysis
and Non-commutative Geometry,
Copenhagen, Denmark, April 10, 2008
(Gave a talk.)
- The Tribute Workshop in Honour of Professor Gunnar
Sparr,
Lund,
Sweden,
May 8-9, 2008
- Summer School: 'Symbolic Dynamics and Homeomorphisms of the Cantor
Set',
Copenhagen, Denmark, June 23-27, 2008
- 5th European Congress of
Mathematics,
Amsterdam, The Netherlands, July 14-18, 2008
- Operator Structures and Dynamical Systems,
Lorentz Center, Leiden, The Netherlands, July 21-25, 2008 (Gave a talk.)
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
Tartu, Estonia, October 9-11, 2008 (Gave a talk.)
- Nordic-Öresund workshop: INANGA, "Inequalities, Interpolation, Non-commutative Analysis, Non-commutative Geometry and
Applications",
Lund, Sweden, November 17-18, 2008 (Gave a talk.)
- Svenska Matematikersamfundets Höstmöte,
Linköping, Sweden, November 28-29, 2008 (Gave a talk.)
- Socrates Intensive Program in Geometric & Algebraic Methods with Applications in
Physics,
Antwerpen, Belgium, July 6-19, 2009
- PhD thesis defense,
Lund, Sweden, August 17, 2009
[The thesis may be downloaded here!]
- Topics in Mathematical Physics and Operator Algebra,
September 7, 2009, Copenhagen, Denmark (Gave a talk.)
- Master Class on Von Neumann Algebras and Group
Actions,
January 25-29, 2010, Copenhagen, Denmark
- Workshop on Von Neumann Algebras and Group Actions,
February 1-5, 2010, Copenhagen, Denmark
- NestFest - Conference in Honor of Ryszard Nest's 60th
Birthday,
September 2-5, 2010, Copenhagen, Denmark
- Intensive Program on Interpolation and Non-commutative
Integration,
September 30-October 5, Lund, Sweden
- Operator Algebras and Representation Theory: Frames, Wavelets and
Fractals,
October 8-10, 2010, Banff, Canada
- Algebra, Geometry & Mathematical Physics, Baltic-Nordic Network
Workshop,
October 25-31, 2010, Tjärnö, Sweden (Gave a talk.)
- Operator Algebras and Representation Theory: Frames, Wavelets and
Fractals,
March 27-April 2, 2011, Oberwolfach, Germany
- Joint Oslo-Trondheim operator algebra seminar,
May 30-31,
2011, Trondheim, Norway (Gave a talk.)
- Hopf
algebras and tensor categories,
July 4-8, 2011, Almeria, Spain
- NordForsk Network Junior Workshop: Operator algebras and
dynamical systems,
September 14-17, 2011, Copenhagen, Denmark
- Workshop in honor of Kirchberg's 65th
birthday,
November 10-13, 2011, Copenhagen, Denmark
- Master Class on The Nuclear Dimension of C*-algebras,
November 14-18, 2011, Copenhagen, Denmark
- Workshop: Matematiken i
civilingenjörsutbildningarna - Ett seminarium tillägnat
Lars-Christer Böiers i samband med hans pensionering,
November 16, 2011, Lund, Sweden
- NordForsk Network Closing Conference: Operator algebras and dynamical
systems,
May 15-20, 2012, Faroe Islands (Gave a talk.)
- Mini-workshop: Commutative subalgebras, ideals and actions
July 23-24, 2012, Lund, Sweden (Gave a talk.)
Upcoming...
- 26th Nordic and 1st European-Nordic Congress of Mathematicians (Dedicated to the memory of Lars Hörmander)
June 10-13, 2013, Lund, Sweden
- Banach Algebras and Applications,
July 29 - August 4, 2013, Gothenburg, Sweden
Other
I am a permanent member of the Swedish Mathematical Society and a member of the Lund
Mathematical Society.
Links
- Blogs
- Some mathematicians
- Useful stuff
- Travel
- Other
Last modified: Thursday, 04th April, 2013 @ 02:38pm (CET)